169138400 has 72 divisors (see below), whose sum is σ = 416785824. Its totient is φ = 67020800.

The previous prime is 169138369. The next prime is 169138429. The reversal of 169138400 is 4831961.

It is a happy number.

It is a super-3 number, since 3×169138400³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89465 + ... + 91335.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^169138400 is an apocalyptic number.

169138400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

169138400 is an abundant number, since it is smaller than the sum of its proper divisors (247647424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

169138400 is a wasteful number, since it uses less digits than its factorization.

169138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 169138400 is about 13005.3219875557. The cubic root of 169138400 is about 553.0283637448.

The spelling of 169138400 in words is "one hundred sixty-nine million, one hundred thirty-eight thousand, four hundred".